Lesson 5Objective: Use

multiplication to connect volume as packing with

volume as filling.

By the end of the lesson, you will be able to…

5th Grade Module 5Lesson 5K. Clauson

Count by Cubic Centimeters

O Count by 100 cubic centimeters to 1,000 cubic centimeters

O Count by 100 mL

O 1,000 mL = 1 liter… now when you get to 1,000 mL say 1 liter

100cm3 200cm3 300cm3 400cm3 500cm3 600cm3 700cm3 800cm3 900cm3 1000cm3

100mL 200mL 300mL 400mL 500mL 600mL 700mL 800mL 900mL 1000mL

Find the AreaArea = length x width

Find the VolumeVolume = length x width x height

V = 40 cm3

V = 72 cm3

V = 280 cm3 V = 108 cm3

Teacher notesGroups will need:

- centimeter cubes (must sink!)- several small watertight containers

(marked with horizontal line for measuring)- small pitchers of water- beaker labeled with mL- ruler or tape measure- class data recording sheet poster (optional)- Problem Set

Concept Development

Problem 1Investigate 1 cm3 = 1 mLO What are some ways that we can

determine the volume of the box you’ve been given using the materials?

O Measure the length and the width. Measure the height up to the line that’s drawn. Multiply to find the volume!

O Confirm the measurement by packing the box to the line that’s drawn

O Record the volume in cubic centimeters on your Problem Set

Volume/ CapacityO I would like you to find the amount

of liquid your container will hold. Any ideas how you might do this using the materials?

O What units are on the beaker?O Pour the water to the fill line. Then,

measure the amount of water by carefully pouring it into the beaker. Record the liquid volume on your Problem Set.

MILLILITERS

Analyze what we have just done!

O Let’s look at the volume data.O What do you notice about the

volume as they are measured by the cubes and the liquid volume?

O What can we say about the relationship of 1 milliliter and 1 cubic centimeter?

O There is a way that we can say that these two measurements are equal. Let me show you!1 cm3 = 1 mL

Problem 2A rectangular fish tank measures 30 cm by 20 cm by 40

cm. How many millimeters of water are in the tank when it is full?

How many liters is that?

O What information do we know about the tank?

O Find the volume of the tank.

O How many milliliters is that?

30cm x 20cm x 40 cm = 24,000cm3

24,000mLO How many liters is

that? 24 liters

Problem 3aA small fish tank is filled to the top with water. If the tank measures 15 cm by 10 cm by 10 cm, what is the volume

of the water in the tank?

O Find the volume of the tank in cubic centimeters and milliliters.

15cm x 10cm x 10cm = 1,500 cm3

= 1,500 mL

Problem 3bAfter a week, water evaporated out of the tank so that the water is now 9cm high. What is the

volume of the water in the tank?

O Does this change the height of the tank?

O Does this change the area of the bottom of the tank?

O Will the volume of the tank change?

O Find the volume of the tank in cubic centimeters and milliliters.

15cm x 10cm x 9cm = 1,350 cm3

= 1,350 mL

Get Ready to Finish theProblem Set on Your Own!

Work on Problem Set 5.You will have 10 minutes to work!

-------------------------------------------------------------------Fast finishers:- Math Center Activities- choice boards,

extra Sprint challenge- CML packets/ worksheets- Problem Solving pages 5th Grade Module 5– Lesson 5

K. Clauson

5th Grade Module 5- Lesson 5K. Clauson

LET’S DEBRIEF

• Take 2 minutes to check your answers with your partner.

• Let’s share any insights you had while solving these problems.

What real world connections can you make to today’s lesson? Problem 6 describes the height of the water using the word

depth. Discuss the connection between the two terms. How is height like depth?

5th Grade Module 5– Lesson 5K. Clauson

EXITTICKET

LESSON 5